What is the Least Common Multiple of 41483 and 41492?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 41483 and 41492 is 1721212636.
LCM(41483,41492) = 1721212636
Least Common Multiple of 41483 and 41492 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41483 and 41492, than apply into the LCM equation.
GCF(41483,41492) = 1
LCM(41483,41492) = ( 41483 × 41492) / 1
LCM(41483,41492) = 1721212636 / 1
LCM(41483,41492) = 1721212636
Least Common Multiple (LCM) of 41483 and 41492 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41483 and 41492. First we will calculate the prime factors of 41483 and 41492.
Prime Factorization of 41483
Prime factors of 41483 are 13, 3191. Prime factorization of 41483 in exponential form is:
41483 = 131 × 31911
Prime Factorization of 41492
Prime factors of 41492 are 2, 11, 23, 41. Prime factorization of 41492 in exponential form is:
41492 = 22 × 111 × 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 41483 and 41492.
LCM(41483,41492) = 131 × 31911 × 22 × 111 × 231 × 411
LCM(41483,41492) = 1721212636
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